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Exponential Distribution Quiz

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1. What is the mean (expected value) of the Exponential distribution with rate parameter \(\lambda\)?

2. Which of the following is the correct Probability Density Function (PDF) of an Exponential distribution?

3. What is the variance of the Exponential distribution with rate parameter \(\lambda\)?

4. Which of the following describes the memoryless property of the Exponential distribution?

5. What is the Cumulative Distribution Function (CDF) for the Exponential distribution at \(x\)?

6. How does the rate parameter \(\lambda\) influence the shape of the Exponential distribution's PDF?

7. An Exponential distribution is used to model the time between events in a Poisson process. What property of the Exponential distribution makes it suitable for this purpose?

8. If the rate parameter \(\lambda\) of an Exponential distribution is doubled, how does this affect the mean of the distribution?

9. Which of the following is NOT a characteristic of the Exponential distribution?

10. Considering an Exponential distribution with rate parameter \(\lambda\), for which value of \(x\) does the Probability Density Function (PDF) reach its maximum?